T. Poinsot and D. Veynante, Theoretical and numerical combustion, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00270731

O. Colin, F. Ducros, D. Veynante, and T. Poinsot, A thickened flame model for large eddy simulations of turbulent premixed combustion, Phys. Fluids, vol.12, pp.1843-1863, 2000.

F. Charlette, C. Meneveau, and D. Veynante, A power-law flame wrinkling model for LES of premixed turbulent combustion part I: non-dynamic formulation and initial tests, Combust. Flame, vol.131, pp.159-180, 2002.

H. Pitsch and L. Duchamp-de-lageneste, Large-eddy simulation of premixed turbulent combustion using a level-set approach, Proc. Combust. Inst, vol.29, pp.2001-2008, 2002.

H. Pitsch, A consistent level set formulation for large-eddy simulation of premixed turbulent combustion, Combust. Flame, vol.143, pp.587-598, 2005.

B. Fiorina, R. Vicquelin, P. Auzillon, N. Darabiha, O. Gicquel et al., A filtered tabulated chemistry model for LES of premixed combustion, Combust. Flame, vol.157, pp.465-475, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00472611

C. Meneveau and T. Poinsot, Stretching and quenching of flamelets in premixed turbulent combustion, Combust. Flame, vol.86, pp.311-332, 1991.

S. Bougrine, S. Richard, O. Colin, and D. Veynante, Fuel composition effects on flame stretch in turbulent premixed combustion: Numerical analysis of flame-vortex interaction and formulation of a new efficiency function, Flow, Turb. and Combust, vol.93, pp.259-281, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01081061

T. Poinsot, D. Veynante, and S. Candel, Quenching processes and premixed turbulent combustion diagrams, J. Fluid Mech, vol.228, pp.561-606, 1991.

T. Poinsot, D. Veynante, and S. Candel, Diagrams of premixed turbulent combustion based on direct simulation, Symposium (International) on Combustion, vol.23, pp.613-619, 1991.

H. Tennekes and J. L. Lumley, A first course in turbulence, 1972.

H. Tennekes, Eulerian and lagrangian time microscales in isotropic turbulence, J. Fluid Mech, vol.67, pp.561-567, 1975.

W. L. Roberts and J. F. Driscoll, A laminar vortex interacting with a premixed flame: measured formation of pockets of reactants, Combust. Flame, vol.87, pp.245-256, 1991.

N. Malik and J. Vassilicos, Eulerian and lagrangian scaling properties of randomly advected vortex tubes, J. Fluid Mech, vol.326, pp.417-436, 1996.
DOI : 10.1017/s0022112096008385

C. Poulain, N. Mazellier, L. Chevillard, Y. Gagne, and C. Baudet, Dynamics of spatial fourier modes in turbulence, The European Physical Journal B, vol.53, pp.219-224, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00200065

E. R. Hawkes, O. Chatakonda, H. Kolla, A. R. Kerstein, and J. H. Chen, A petascale direct numerical simulation study of the modelling of flame wrinkling for large-eddy simulations in intense turbulence, Combust. Flame, vol.159, pp.2690-2703, 2012.

C. Angelberger, D. Veynante, F. Egolfopoulos, and T. Poinsot, Large eddy simulations of combustion instabilities in premixed flames, Proc. of the Summer Program, pp.61-82, 1998.

C. Fureby, A fractal flame-wrinkling large eddy simulation model for premixed turbulent combustion, Proc. Combust. Inst, vol.30, pp.593-601, 2005.
DOI : 10.1016/j.proci.2004.08.068

F. Thiesset, L. Danaila, and R. A. Antonia, Dynamical effect of the total strain induced by the coherent motion on local isotropy in a wake, J. Fluid Mech, vol.720, pp.393-423, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01660251

T. Kármán and L. Howarth, On the statistical theory of isotropic turbulence, Proc. Roy. Soc. Lond. A, vol.164, issue.917, pp.192-215, 1938.

A. Kolmogorov, Dissipation of energy in the locally isotropic turbulence, Dokl. Akad. Nauk. SSSR, vol.125, pp.15-17, 1941.

L. Danaila, R. A. Antonia, and P. Burattini, Progress in studying small-scale turbulence using 'exact' two-point equations, New J. Phys, vol.6, p.128, 2004.
DOI : 10.1088/1367-2630/6/1/128
URL : http://iopscience.iop.org/article/10.1088/1367-2630/6/1/128/pdf

N. Peters, Laminar flamelet concepts in turbulent combustion, Symposium (International) on Combustion, vol.21, pp.1231-1250, 1986.
DOI : 10.1016/s0082-0784(88)80355-2

R. A. Antonia, R. J. Smalley, T. Zhou, F. Anselmet, and L. Danaila, Similarity of energy structure functions in decaying homogeneous isotropic turbulence, J. Fluid Mech, vol.487, pp.245-269, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00014746

G. K. Batchelor, Pressure fluctuations in isotropic turbulence, Proc. Camb. Phi. Soc, vol.47, pp.359-374, 1951.
DOI : 10.1017/s0305004100026712

S. Kurien and K. R. Sreenivasan, Anisotropic scaling contributions to high-order structure functions in high-Reynolds-number turbulence, Phys. Rev. E, vol.62, pp.2206-2212, 2000.
DOI : 10.1103/physreve.62.2206

K. G. Aivalis, K. R. Sreenivasan, Y. Tsuji, J. Klewicki, and C. A. Biltoft, Temperature structure functions for air flow over moderately heated ground, Phys. Fluids, vol.14, pp.2439-2446, 2002.
DOI : 10.1063/1.1485079

S. B. Pope, Turbulent flows, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00338511

Y. H. Pao, Structure of turbulent velocity and scalar fields at large wavenumbers, Phys. Fluids, vol.8, pp.1063-1075, 1965.
DOI : 10.1063/1.1761356

P. Yeung, S. Girimaji, and S. Pope, Straining and scalar dissipation on material surfaces in turbulence: implications for flamelets, Combust. Flame, vol.79, pp.340-365, 1990.

S. Goto and S. Kida, Reynolds-number dependence of line and surface stretching in turbulence: folding effects, J. Fluid Mech, vol.586, pp.59-81, 2007.

F. Gouldin, S. Hilton, and T. Lamb, Experimental evaluation of the fractal geometry of flamelets, Symposium (International) on Combustion, vol.22, pp.541-550, 1989.

G. North and D. Santavicca, The fractal nature of premixed turbulent flames, Combust. Sci. Technol, vol.72, pp.215-232, 1990.

O. Chatakonda, E. R. Hawkes, A. J. Aspden, A. R. Kerstein, H. Kolla et al., On the fractal characteristics of low Damköhler number flames, Combust. Flame, vol.160, pp.2422-2433, 2013.

F. Gouldin, An application of fractals to modeling premixed turbulent flames, Combust. Flame, vol.68, pp.249-266, 1987.

A. R. Kerstein, Fractal dimension of turbulent premixed flames, Combust. Sci. Technol, vol.60, pp.441-445, 1988.

N. Peters and C. Franke, The fractal concept of turbulent flames, Dissipative Structures in Transport Processes and Combustion, pp.40-50, 1990.

G. Batchelor, The effect of homogeneous turbulence on material lines and surfaces, Proc. Roy. Soc. Lond. A, vol.213, pp.349-366, 1952.

H. Kobayashi, T. Kawahata, K. Seyama, T. Fujimari, and J. S. Kim, Relationship between the smallest scale of flame wrinkles and turbulence characteristics of high-pressure, high-temperature turbulent premixed flames, Proc. Combust. Inst, vol.29, pp.1793-1800, 2002.

S. Menon and A. R. Kerstein, Stochastic simulation of the structure and propagation rate of turbulent premixed flames, Symposium (International) on Combustion, vol.24, pp.443-450, 1992.

R. Fragner, N. Mazellier, F. Halter, C. Chauveau, and I. Gökalp, Multi scale high intensity turbulence generator applied to a high pressure turbulent burner, Flow, Turb. and Combust, vol.94, issue.1, pp.1-21, 2014.
DOI : 10.1007/s10494-014-9556-2
URL : https://hal.archives-ouvertes.fr/hal-02012590

R. Fragner, F. Halter, N. Mazellier, C. Chauveau, and I. Gökalp, Investigation of pressure effects on the small scale wrinkling of turbulent premixed bunsen flames, Proc. Combust. Inst, vol.35, issue.2, pp.1527-1535, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01858506

R. J. Kee, J. F. Grcar, M. Smooke, J. Miller, and E. Meeks, PREMIX: a fortran program for modeling steady laminar one-dimensional premixed flames, 1985.

R. J. Kee, F. M. Rupley, and J. A. Miller, The chemkin thermodynamic data base, 1990.

G. Smith, D. Golden, M. Frenklach, N. Moriarty, B. Eiteneer et al., Gri-mechan optimized detailed chemical reaction mechanism for methane combustion, 1999.

F. Halter, C. Chauveau, I. Gökalp, and D. Veynante, Analysis of flame surface density measurements in turbulent premixed combustion, Combust. Flame, vol.156, pp.657-664, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00430383

D. Veynante, G. Lodato, P. Domingo, L. Vervisch, and E. R. Hawkes, Estimation of three-dimensional flame surface densities from planar images in turbulent premixed combustion, Exp. in Fluids, vol.49, pp.267-278, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00493702

E. R. Hawkes, R. Sankaran, and J. H. Chen, Estimates of the three-dimensional flame surface density and every term in its transport equation from two-dimensional measurements, Proc. Combust. Inst, vol.33, pp.1447-1454, 2011.

N. Chakraborty and E. R. Hawkes, Determination of 3D flame surface density variables from 2D measurements: Validation using direct numerical simulation, Phys. Fluids, vol.23, p.65113, 2011.
DOI : 10.1063/1.3601483